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The formula for the volume of a cylinder is V 7r²h, where r is the radius of the cylinder and his the
height of the cylinder. Rewrite the formula to solve for h in terms of r and V.
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Answers
Final answer:
To solve for the height of a cylinder in terms of its radius and volume, rewrite the formula as h = V/(7r²).
Explanation:
To rewrite the formula to solve for h in terms of r and V, we need to isolate h on one side of the equation. The given formula is V = 7r²h. To isolate h, we divide both sides of the equation by 7r². This gives us the formula: h = V/(7r²). This formula allows us to calculate the height of a cylinder given its radius and volume.
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Related Questions
Bill and Ben each have three cards numbered 4,5,6 they each take one of their own cards then they add the two numbers on the cards what is the probability that their answer is an odd number. What is the probability that their answer is a number less than 11.
Figure A ~ Figure B Find the volume of Figure A
Make m the subject when g=square root sign over m-5
What are the zeros of the function below? Check all that apply
Answers
Answer:
this is the answer
Step-by-step explanation:
Let suppose
x = r∙cos(θ)
y = r∙cos(θ)
z = z
The differential volume element changes to
dV = dxdydz = r drdθdz
The limits of integration in cylindrical coordinates are:
The limits of integration in cylindrical coordinates are:
(i)
since r is always positive
(ii)
(iii)
we have no restrictions in radial direction.
Remaining derivation has been explained in the atatchment where we get the volume of the cylinder
The volume of the solid cut from the thick-walled cylinder and cones is 4π/3 (2√2 - 1) using cylindrical coordinates.
To determine the volume of the solid cut from the given cylinder and cones, we'll utilize cylindrical coordinates. The cylinder is represented by 1 ≤ r² ≤ 2, or 1 ≤ r ≤ √2, in cylindrical coordinates, where x² + y² = r². Similarly, the cones are represented by z = ±2r. The volume differential in cylindrical coordinates is dV = rdzdrdθ.
Integrating over the appropriate limits, we obtain the volume of the solid:
V = ∫₀²π ∫₁√₂ -2r²r²dzdrθ
Evaluating the integral, we get:
V = 4π/3 (2√2 - 1)
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#SPJ6
A. the number of guppies
B. the total number of fish
C. the number of non-guppies
( what is the variable in the problem?)
Answers
Answer:
6 non-guppies; C. the number of non-guppies
Step-by-step explanation:
13-7=x
(x is the number of non-guppies)
13-7=6
Answers
Answer:
Step-by-step explanation:
14
Since the local area businesses are supporting the fundraiser, the only cost to the students is the production cost. So, the
profit from the cards is found by subtracting the total production cost from the total revenue. Each card costs $0.20 to
produce and is sold for $20.
Select the correct answer from each drop-down menu.
If the class sold c cards, the inequality that represents their profit goal is
This year's class sold 520 cards, so they
their goal because they sold more than
cards.
Answers
Approximately 520 cards actually sold this year in the class, more than 505, have fulfilled their objective.
According to the question,
If the students sell c cards the,
The total revenue,
- 20c
The total production costs,
- 0.2c
`
The inequality of profit, or income, which is less than 10 thousand dollars represents their objective, such as:
→
→
→
→
or,
→
The class had to sell more than 505 cards just to meet their goals.
Thus the above answer is right.
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Answer:
Sample Answer for Edmentum
Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your final answers to the nearest whole dollar.)
Answers
The appropriate journal entries to record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021 are:
White Water journal entries
1-Jan-21
Debit Cash $382,141
Credit Discount on Bonds Payable $27,859
($410,000-$382,141)
Credit Bonds payable $ 410,000
30-Jun
Debit Interest Expenses $ 15,286
($382,141 x 8%/2)
Debit Discount on Bonds Payable $736
Credit Cash $14,350
($410,000 x 7%/2)
31-Dec
Debit Interest Expenses $15,315.08
[($382,141 + 736) x 8%/2]
Credit Discount on Bonds Payable $965.08
($15,315.08-$14,350)
Credit Cash $14,350
($410,000 x 7%/2)
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Answer:
Step-by-step explanation:
B 30 26 27 37 24
Assume the paired data came from a population that is normally distributed.
Answers
Answer:
9.0
Step-by-step explanation:
Mean = Sum of terms/Number of terms
For Data Set A
Mean = 32 + 30 + 49 + 45 + 33/5
= 189/5
= 37.8
For Data Set B
Mean = 30 + 26 + 27 + 37 + 24/5
= 144/5
= 28.8
Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B
Mean Difference = 37.8 - 28.8
= 9.0